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Finding the Third Proportional to 23,497 and 33,409

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Solution

The third proportional to 23,497 and 33,409 is: 47,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497 : 33,409 = 33,409 : x
  2. Step 2: Convert to fraction form
    23,497/33,409 = 33,409/x
  3. Step 3: Cross multiply
    23,497x = 33,409 × 33,409
  4. Step 4: Simplify right side
    23,497x = 1,116,161,281
  5. Step 5: Solve for x
    x = 1,116,161,281/23,497
  6. Step 6: Final answer
    x = 47,502.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.